Slope and Writing Linear Equations

17. Given the graph y - 2k = 2kx + 5k, determine the value of k if the graph has a slope of 6?

18. Determine the value of k so that (-4k, 2k) is on the graph of 5x + 4y = 24

20. If A has the coordinate (2,3) and B has the coordinate (5,6) then which of the following is NOT TRUE ?

a) the line connecting A and B has the equations y = x + 1

b) the line containing A and B has the equation y - 5 = x - 6

c) A and B are solutions to the equation x - y = -1

d) the line containing A and B ia parallel to 3x - 3y = 5

21. Given the equation y - 8 = (2/3)(x-5) which of the following is NOT TRUE?

a) the slope is 2/3

b) the line contains the point (5,8)

c) the line is perpendicular to the line 3x + 2y = 7

d) the point (-5, -8) is a solution to the equation

e) none of the above

22. Given f(3) = 5 and f(6) = -4, which is TRUE?

a) the slope is 3

b) the equatioin is y + 4 = -3(x + 6)

c) the equation is y = (-1/3) X - 2

d.) the equation is 3x + y = 23

e) none of the above

23. Write the equation in STANDARD FORM of the line that passes through the point (-12, 4) and is perpendicular to the line x + 3y = 12

24. Given the equation y - 5k = 10kx + 2k, determine the value of k if the graph has a slope of 3

25. Given the equation y - 5k = 10kx + 2k, determine the value of k if the graph contains the point (2,6)